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arXiv · 2203.11460

On K-stability of Calabi-Yau fibrations

Masafumi Hattori
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Abstract

We show that Calabi-Yau fibrations over curves are uniformly K-stable in an adiabatic sense if and only if the base curves are K-stable in the log-twisted sense. Moreover, we prove that there are cscK metrics for such fibrations when the total spaces are smooth.

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BibTeXRIS

Masafumi Hattori. 2022-03-22. On K-stability of Calabi-Yau fibrations. https://doi.org/10.1017/s1474748024000598

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